In: Chemistry
A 200 ml buffer solution is made up of 0.20 M HClO and 0.15 M NaClO. What is the pH after 1.71 grams of barium hydroxide is added to solution? (assume no volume change with addition)? HINTS: Ka of HClO is 2.9x108 and barium hydroxide has a molar mass of 171.35 g/mole.
First calculate moles of HClO, NaClO & Ba(OH) 2
We know that, Molarity = No.of moles of solute / volume of solution in L
No. of moles of solute = Molarity volume of solution in L
No. of moles of HClO = 0.20 mol / L 0.200 L = 0.040 mol
No. of moles of NaClO = 0.15 mol / L 0.200 L = 0.030 mol
We have, no. of moles = Mass / Molar mass
no. of moles of Ba(OH) 2 = 1.71 g / 171.35 g/mol = 0.00998 mol
Ba(OH) 2 is a strong base. It dissociates completely into ions when dissolved in water.
Ba(OH) 2 (aq) Ba 2+ (aq) + 2 OH - (aq)
From reaction, 1 mol Ba(OH) 2 2 mol OH -
no. of moles of OH - = 2 ( no. of moles of Ba(OH) 2 )
no. of moles of OH - = 2 ( 0.00998 mol ) = 0.01996 mol
Consider reaction of hydroxide ions with buffer solution.
HClO (aq) + OH - (aq) ClO - (aq) + H2O (l)
Let's use ICE table.
moles | HClO | OH - | ClO - |
I | 0.040 | 0.01996 | 0.030 |
C | -0.01996 | -0.01996 | +0.01996 |
E | 0.02004 | 0.00000 | 0.04996 |
pH of buffer solution is calculated by using Henderson's equation.
pH = pKa + log [ salt ] / [ Acid ]
pH = - log Ka + log [ ClO - ] / [ HClO ]
pH = - log ( 2.9 10 -8 ) + log ( 0.04996 mol / 0.200 L ) / ( 0.02004 mol / 0.200 L)
pH =7.54 + log ( 0.04996 mol / 0.200 L ) / ( 0.02004 mol / 0.200 L)
pH = 7.54 + 0.3967
pH = 7.937
ANSWER : pH of buffer solution after addition of 1.71 g barium hydroxide is 7.94